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13434130160 = 24511191257311
BaseRepresentation
bin11001000001011110…
…01000111011110000
31021200020200112002022
430200233020323300
5210003114131120
610101020011012
7653624136143
oct144057107360
937606615068
1013434130160
115774241910
12272b090a68
131361303159
1491629605a
15539608025
hex320bc8ef0

13434130160 has 160 divisors (see below), whose sum is σ = 34496077824. Its totient is φ = 4825088000.

The previous prime is 13434130159. The next prime is 13434130169. The reversal of 13434130160 is 6103143431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13434130169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43196405 + ... + 43196715.

Almost surely, 213434130160 is an apocalyptic number.

13434130160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13434130160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17248038912).

13434130160 is an abundant number, since it is smaller than the sum of its proper divisors (21061947664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13434130160 is a wasteful number, since it uses less digits than its factorization.

13434130160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 13434130160 its reverse (6103143431), we get a palindrome (19537273591).

The spelling of 13434130160 in words is "thirteen billion, four hundred thirty-four million, one hundred thirty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 191 220 257 311 382 440 514 622 764 880 955 1028 1244 1285 1528 1555 1910 2056 2101 2488 2570 2827 3056 3110 3421 3820 4112 4202 4976 5140 5654 6220 6842 7640 8404 10280 10505 11308 12440 13684 14135 15280 16808 17105 20560 21010 22616 24880 27368 28270 33616 34210 42020 45232 49087 54736 56540 59401 68420 79927 84040 98174 113080 118802 136840 159854 168080 196348 226160 237604 245435 273680 297005 319708 392696 399635 475208 490870 539957 594010 639416 653411 785392 799270 879197 950416 981740 1079914 1188020 1278832 1306822 1598540 1758394 1963480 2159828 2376040 2613644 2699785 3197080 3267055 3516788 3926960 4319656 4395985 4752080 5227288 5399570 6394160 6534110 7033576 8639312 8791970 10454576 10799140 13068220 14067152 15266057 17583940 21598280 26136440 30532114 35167880 43196560 52272880 61064228 70335760 76330285 122128456 152660570 167926627 244256912 305321140 335853254 610642280 671706508 839633135 1221284560 1343413016 1679266270 2686826032 3358532540 6717065080 13434130160